A department of education reported that in 2007, 65% of students enrolled in col

Question

A department of education reported that in 2007, 65% of students enrolled in college or a trade school within 12 months of graduating from high school. In 2013, a random sample of 320 individuals who graduated from high school 12 months prior was selected. From this sample, 236 students were found to be enrolled in college or a trade school. Complete parts a through c below. Construct a 99% confidence interval to estimate the actual proportion of students in college or a trade school within 12 months of graduating from high school in 2013. A 99% confidence interval to estimate the actual proportion has a lower limit of and an upper limit of (Round to three decimal places as needed.) What is the margin of error for this sample? The margin of error is (Round to three decimal places as needed.) Based on this sample, is there any evidence that this proportion has changed since 2007? Because the confidence interval found in part a _______ the reported proportion from 2007, this sample _______ evidence that this proportion has changed since then.

Explanation / Answer

a) here estimated proportion p=236/320=0.7375

here n=320 ; therefore std error =(p(1-p)/n)1/2 =0.0246

for 99% Confidence level ; z=2.5758

therefore 99% confidence interval =p -/+ z*std error =0.674 ; 0.801

b)margin of error =z*std error =0.063

c)in part a does not contain the reported....this sample provide sufficient evidence............

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